3(3x-5)-2=3(x-3)+4

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Solution for 3(3x-5)-2=3(x-3)+4 equation:


Simplifying
3(3x + -5) + -2 = 3(x + -3) + 4

Reorder the terms:
3(-5 + 3x) + -2 = 3(x + -3) + 4
(-5 * 3 + 3x * 3) + -2 = 3(x + -3) + 4
(-15 + 9x) + -2 = 3(x + -3) + 4

Reorder the terms:
-15 + -2 + 9x = 3(x + -3) + 4

Combine like terms: -15 + -2 = -17
-17 + 9x = 3(x + -3) + 4

Reorder the terms:
-17 + 9x = 3(-3 + x) + 4
-17 + 9x = (-3 * 3 + x * 3) + 4
-17 + 9x = (-9 + 3x) + 4

Reorder the terms:
-17 + 9x = -9 + 4 + 3x

Combine like terms: -9 + 4 = -5
-17 + 9x = -5 + 3x

Solving
-17 + 9x = -5 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-17 + 9x + -3x = -5 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-17 + 6x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 6x = -5 + 0
-17 + 6x = -5

Add '17' to each side of the equation.
-17 + 17 + 6x = -5 + 17

Combine like terms: -17 + 17 = 0
0 + 6x = -5 + 17
6x = -5 + 17

Combine like terms: -5 + 17 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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